Kerimov, G. A.Ventura, A.2024-06-122024-06-1220081751-81131751-8121https://doi.org/10.1088/1751-8113/41/39/395306https://hdl.handle.net/20.500.14551/25395In this paper we develop an algebraic technique for building relativistic models in the framework of the direct-interaction theories. The interacting mass operator M in the Bakamjian-Thomas construction is related to a quadratic Casimir operator C of a non-compact group G. As a consequence, the S matrix can be gained from an intertwining relation between Weyl-equivalent representations of G. The method is illustrated by explicit application to a model with SO(3, 1) dynamical symmetry.en10.1088/1751-8113/41/39/395306info:eu-repo/semantics/openAccessS-MatrixIntertwining-OperatorsExtension TheoremCoulombRepresentationsPotentialsParticleArticle4139Q2WOS:0002591538000232-s2.0-54749118589Q2